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On integrals and invariants for inviscid, irrotational flow under gravity

Published online by Cambridge University Press:  20 April 2006

M. S. Longuet-Higgins
M. S. Longuet-Higgins
Affiliation:
Department of Applied Mathematics and Theoretical Physics, Silver Street, Cambridge, and Institute of Oceanographic Sciences, Wormley, Surrey
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Abstract

Simplified proofs are given of the eight basic conservation laws for two-dimensional irrotational flow of a perfect fluid. The corresponding relations for rotational flow are also discussed.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 134 , September 1983 , pp. 155 - 159
Copyright
© 1983 Cambridge University Press

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References

Benjamin, T. B. & Olver, P. J. 1983 Hamiltonian structure, symmetries and conservation laws for water waves J. Fluid Mech. 125, 137–185.Google Scholar
Longuet-Higgins, M. S. 1980 Spin and angular momentum in gravity waves J. Fluid Mech. 97, 1–25.Google Scholar
Olver, P. J. 1980 Applications of Lie Groups to Differential Equations. Mathematical Institute, University of Oxford, Lecture Notes.